This page will change
in the first few weeks. Please consult it often!
In the first part of the course we study the differential
geometry of curves and then go on to multivariable calculus,
where we study linear approximations, Taylor's theorem for
multi-variable functions, Lagrange multiples and constrained
optimization, multi-dimensional integration and vector analysis
including the theorems of Green, Gauss and Stokes.
Students are expected to solve simple problems in the theory of
curves, to compute with functions of several variables and solve
some optimization problems. Students are also expected to compute
line integrals and multiple integrals and understand their
connections via the theorems of Gauss, Green and Stokes.
(3.) TEST DATES:
Test 1: Thursday, January 29,
covering everything up and including January 26 lecture.
Test 2: Thursday, February 19, covering everything up and including February 16 lecture.
Test 3: Thursday, March 12, covering everything up and including March 9 lecture.
Test 4: Thursday, April 2, covering everything up and including March 30 lecture.
Final Exam: This
material will be tested only on the final exam -- which
does not mean that the final exam will be only on this
material. The final exam will be comprehensive.
There
will be two pop quizzes during the term.
Final Exam:
Monday, April 27, 8am - 10:50am
in room Clough 152
(4.) COURSE CALENDAR: The problems that are assigned in
addition to the online homework will not be graded.
Week 1: January 5, 7, 9.
Reading: 12.1-12.6. In addition
to the online problems work problems 61, 65 in Section 12.1, 43,
49 in Section 12.2, 18, 20 in Section 12.3, 35, 41 in Section
12.4, 68, 72 in Section 12.5
and problem 47 in Section 12.6.
Week 2: January 12, 14, 16.
Reading: 13.1, 13.2 In addition to the online problems work problems 7,8, 22, 26b in Section13.1 and 28, 30, 32, 37 (somewhat more difficult) and 44 in Section13.2.
Week 3: January 19, 21, 23.
(January 19 Official School Holiday: Martin Luther King Day)
Reading: 13.3, 13.4 In
addition to the online problems work problems 9, 10,
13, 18, 19 in Section 13.3 and 5, 6, 11, 12, 18 in Section 13.4
Week 4: January 26, 28, 30.
(Test 1: January 29 in recitation)
Reading: 13.4, 13.5, 13.6
In addition to the online problems work problems 4, 5, 17, 18, 23,
26 in Section 13.5, 2, 3, 6, in Section 13.6
Week 5: February 2, 4, 6.
Reading: 14.1-14.3 In
addition to the online problems work problems 51, 61, 66, 67 in
Section 14.1, 15, 26, 32a), 55, 56 in Section 14.2, 41, 42, 55
a,b) 65, 66 in Section 14.3.
Week 6: February 9, 11, 13.
(Progress Report due noon February 13)
Reading: 14.4-14.6 In
addition to the online problems work problems 7, 8, 25, 26, 33, 34
in Section 14.4, 19, 20, 25, 26, 29 in Section 14.5, 3, 4, 9, 13,
14, 19 in Section 14.6.
Week 7: February 16, 18, 20.
(Test 2: February 19 in recitation)
Reading: 14.6-14.8 In
addition to the online problems work problems 44, 46, 49, 50, 61
in Section 14.7, 33, 37, 38, 40, 42, 43 in Section 14.8
Week 8: February 23, 25, 27.
(February 27 Deadline for dropping the course with a grade `W'
by 4:00 pm ET)
Reading: 14.8-14.10
In addition to the online problems work problems 34, 35, 36, 44 in
Section 14.8, 11, 12 in Section 14.9, 4, 5, 7, 10 in Section
14.10.
Week 9: March 2, 4, 6.
Reading: 15.1-15.3 In
addition to the online problems work problems 18, 19, 23, 27 in
Section 15.1, 61, 63, 69, 72 in Section 15.2, 13, 18, 19, 20 in
Section 15.3
Week 10: March 9, 11, 13.
(Test 3: March 12 in recitation)
Reading: 15.4-15.6 In
addition to the online problems work problems 18, 19, 28, 29, 34,
35, in Section 15.4, 15, 17, 21, 23, 24, 29 in Section 15.5 and
21, 22, 29, 30 in Section 15.6
Week 11: March 16, 18, 20.
(March 16-20: Spring Break)
Week 12: March 23, 25, 27.
Reading: 15.6-15.8
In addition to the online problems work problems 15, 16, 21,
22, 33, 34 in Section 15.7 and problems 10, 13, 16, 17, 24 in
Section 15.8
Week 13: March 30, April 1, 3. (Test 4: April 2 in recitation)
Reading: 15.8,
16.1,16.2 In addition to the online problems work
problems 1, 11, 12, 15, 26, 36, 37, 38 in Section
16.1, 7, 11, 12, 25, 26, 29, 30, 39-41, 47, 48, 51
Week 14: April 6, 8, 10.
Reading: 16.3, 16.4 In
addition to the online problems work problems 5, 7, 14, 15, 23, 29
in Section 16.3, 5, 9, 21, 22, 25, 39 in Section 16.4
Week 15: April 13, 15,
17.
Reading: 16.5, 16.6 In
addition to the online problems work problems14, 15, 24, 25, 31,
32 in Section 16.5, 14, 20, 21, 37, 43, 45,
Week 16: April 20, 22, 24.
Reading: 16.7, 16.8 There are no online homework problems online. Do some the following problems: Problems 3, 4, 7, 13, 14, 15 in Section 16.7. Problems 7, 8, 11, 12 15, 16. in Section 16.8